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A268070 Number of nX2 0..3 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order. 2

%I #4 Jan 25 2016 21:10:11

%S 2,15,159,2191,30295,421471,5797959,79367143,1079774311,14630901175,

%T 197520668295,2659138662775,35714778101863,478783751931415,

%U 6408527754114375,85670414104756855,1144076540594898727

%N Number of nX2 0..3 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

%C Column 2 of A268073.

%H R. H. Hardin, <a href="/A268070/b268070.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 26*a(n-1) -109*a(n-2) -1668*a(n-3) +10384*a(n-4) +30340*a(n-5) -193268*a(n-6) -33480*a(n-7) +882432*a(n-8) -461376*a(n-9) -1073088*a(n-10) +839808*a(n-11) for n>13

%e Some solutions for n=5

%e ..0..1....0..1....0..1....0..1....0..0....0..1....0..1....0..1....0..1....0..1

%e ..0..2....0..0....2..3....1..0....1..0....1..2....0..0....1..2....1..1....2..3

%e ..2..1....1..2....2..3....2..0....1..1....0..3....2..2....1..3....2..3....2..2

%e ..2..0....0..3....1..2....2..1....0..0....0..1....3..3....3..3....2..3....0..2

%e ..1..0....1..1....0..2....0..2....2..3....1..2....1..2....0..0....3..1....3..3

%Y Cf. A268073.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 25 2016

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Last modified April 17 23:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)